I think that maybe it would be solved like this:
25:2 student/teacher ratio, so 182 teachers---> means x(students):182, what I did was set it up like the butterfly method to find an equation to solve, so (25/2) and (x/182), making the equation 2x=4550 meaning that once divided it would equal 2275 students. I think that this is how you would solve this, but I'm not complete 100% sure, but I hope this helps.